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This article is cited in 11 scientific papers (total in 11 papers)
OPTICS AND NUCLEAR PHYSICS
Difference of mutant knot invariants and their differential expansion
L. V. Bishlerabc, Saswati Dharad, T. Grigoryeve, A. Mironovbac, A. Morozovcea, An. Morozovace, P. Ramadevid, Vivek Kumar Singhd, A. Sleptsoveac a Institute for Theoretical and Experimental Physics, National Research Center Kurchatov Institute, Moscow, 117218 Russia
b Lebedev Physics Institute, Russian Academy of Sciences, Moscow, 119991 Russia
c Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994 Russia
d Department of Physics, Indian Institute of Technology Bombay, Mumbai, 400076 India
e Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141701 Russia
Abstract:
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of $SL(N)$, which are large enough to distinguish between them. These mutant pairs include the pretzel mutants, which require at least the representation, labelled by the Young diagram [2, 4]. We discuss the differential expansion for the differences, which is nontrivial in the case of mutants with a nonzero defect. The most effective technical tool in this case turns out to be the standard Reshetikhin-Turaev approach.
Received: 08.04.2020 Revised: 08.04.2020 Accepted: 08.04.2020
Citation:
L. V. Bishler, Saswati Dhara, T. Grigoryev, A. Mironov, A. Morozov, An. Morozov, P. Ramadevi, Vivek Kumar Singh, A. Sleptsov, “Difference of mutant knot invariants and their differential expansion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:9 (2020), 591–596; JETP Letters, 111:9 (2020), 494–499
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https://www.mathnet.ru/eng/jetpl6161 https://www.mathnet.ru/eng/jetpl/v111/i9/p591
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Abstract page: | 177 | Full-text PDF : | 17 | References: | 23 | First page: | 10 |
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